Almost-Everywhere Superiority for Quantum Computing

Edith Hemaspaandra; Lane A. Hemaspaandra; Marius Zimand

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Almost-Everywhere Superiority for Quantum Computing

Edith Hemaspaandra·Lane A. Hemaspaandra·Marius Zimand

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Abstract

Simon as extended by Brassard and Høyer shows that there are tasks on which polynomial-time quantum machines are exponentially faster than each classical machine infinitely often. The present paper shows that there are tasks on which polynomial-time quantum machines are exponentially faster than each classical machine almost everywhere.

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Edith Hemaspaandra, Lane A. Hemaspaandra, Marius Zimand. 2000-04-29. Almost-Everywhere Superiority for Quantum Computing. https://arxiv.org/abs/quant-ph/9910033

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